Questions
If water is poured into an inverted hollow cone whose semi-vertical angle is 30° , then the its depth (measured along axis) increases at the
rate of 1cm/sec, the rate of which the volume of water increases when the depth is 24 cm.
detailed solution
Correct option is C
V=13πr2htanθ=rhV=π3×h2tan2θhdvdt=π3tan2θ3h2dhdt=πh2tan2θdhdt=π(24)2tan230∘ (1) cm3/sec=π(24)(24)×13=192πcm3/secTalk to our academic expert!
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